Cremona's table of elliptic curves

1360 = 2⁴ · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 5+ 17-	Signs for the Atkin-Lehner involutions
Class	1360g	Isogeny class
Conductor	1360	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-739840000 = -1 · 212 · 54 · 172	Discriminant
Eigenvalues	2- -2 5+  2 -2  2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-56,1300]	[a1,a2,a3,a4,a6]
Generators	[4:34:1]	Generators of the group modulo torsion
j	-4826809/180625	j-invariant
L	1.976919324059	L(r)(E,1)/r!
Ω	1.3329644606279	Real period
R	0.74154989966042	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	85a2 5440x2 12240bx2 6800l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1360g2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-2	+	2	-2	2	-	0	-6	-6	10	2	10	-4	-12	-10	-8	-14	-8	2	-14	14	-4	6	2

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Quadratic twists for elliptic curve 1360g2

-4	8	-3	5	-7	17
85a2	5440x2	12240bx2	6800l2	66640cf2	23120bh2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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